Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.

The class of the congruence is Af, since an arbitrary plane meets **zg in K points.

Since the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.

Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

The K factor, a term used to denote the rate of heat transmission through a material ( B.t.u./sq. ft. of material/hr./*0F./in. of thickness ) ranges from 0.24 to 0.28 for flexible urethane foams and from 0.12 to 0.16 for rigid urethane foams, depending upon the formulation, density, cell size, and nature of blowing agents used.

Table 1,, p. 394, shows a comparison of K factor ratings of a number of commercial insulating materials in common use, including two different types of rigid urethane foam.

The man most firmly at grips with the problem is the University of Minnesota's Physiologist Ancel Keys, 57, inventor of the wartime K ( for Keys ) ration and author of last year's bestselling Eat Well And Stay Well.

* in J. Barnes, M. Schofield, and R. R. K. Sorabji, eds .( 1975 ).

* Pfeiff, K. A., 1943.

The equilibrium constant K is an expression of the equilibrium concentrations of the molecules or the ions in solution.

The acid dissociation constant K < sub > a </ sub > is generally used in the context of acid-base reactions.

The stronger of two acids will have a higher K < sub > a </ sub > than the weaker acid ; the ratio of hydrogen ions to acid will be higher for the stronger acid as the stronger acid has a greater tendency to lose its proton.

Charles K. Smith argues that Swift ’ s rhetorical style persuades the reader to detest the speaker and pity the Irish.

To do this, Moseley measured the wavelengths of the innermost photon transitions ( K and L lines ) produced by the elements from aluminum ( Z = 13 ) to gold ( Z = 79 ) used as a series of movable anodic targets inside an x-ray tube.

Maj. Gen. Polk ignored the problems of Fort Henry and Fort Donelson when he took command and, after Johnston took command, at first refused to comply with Johnston's order to send an engineer, Lt. Joseph K. Dixon, to inspect the forts.

* Reginald, Robert, & Slusser, George, eds, Zephyr and Boreas: Winds of Change in the Fictions of Ursula K. Le Guin ( San Bernardino, CA: Borgo Press, 1997 )

The aztec gods and goddess were mainly taken from the sources of Francisco Javier Clavijero, Alfredo Chavero, Francisco del Paso y Troncoso, Manuel Orozco y Berra and Bernardino de Sahagún, where depending on the source the suffixes of the Aztec names are exchanged " Lli ", " Li ", " Tl ", " Tli ", " Tlli " as occasionally the initials of the Aztec names are changed " Ch ", " C ", " Qu ", " X ", " K ", " Z ".

In the same year, Cheap Sex participated in the British Invasion 2k4 Festival, organized by SOS Records, the festival took place November 20, in San Bernardino, with The Adicts, The Exploited, Discharge, U. K. Subs, Cockney Rejects, The Restarts and local U. S. bands like Total Chaos, CH3 and Resilience among others, the show was recorded for a DVD release.

* John K. Tarbox, US Congressman from March 4, 1875 to March 3, 1877 and Mayor of Lawrence from ( 1873 – 1875 )

Isaac Kaufmann Funk founded the business in 1875 as I. K.

* Nelson K. Hopkins, New York State Comptroller, 1872 – 1875

On 21 June 1875, an agreement was signed between the Burmese and the British recognising the independence of the four western Karenni states: “ It is hereby agreed between the British and Burmese Government that the State of Western Karenee shall remain separate and independent, and that no sovereignty or governing authority of any description shall be claimed or exercised over that State .” The agreement was signed by the two missions, with His Excellency the Kinwoon Mingyi, Minister for Foreign Affairs, signing on the part of His Majesty King Mindon of Burma ; and the Honorable Sir Douglas Forsyth, C. B., K. C. S. I., Envoy, signing on the part of His Excellency the Viceroy and Governor General of India.

Maxwell noted in 1875 that the disagreement between experiment and the equipartition theorem was much worse than even these numbers suggest ; since atoms have internal parts, heat energy should go into the motion of these internal parts, making the predicted specific heats of monoatomic and diatomic gases much higher than 3 cal /( mol · K ) and 7 cal /( mol · K ), respectively.

The famous names in the ornithology of the Indian subcontinent during this era include Andrew Leith Adams ( 1827 – 1882 ), Edward Blyth ( 1810 – 1873 ), Edward Arthur Butler ( 1843 – 1916 ), Douglas Dewar ( 1875 – 1957 ), N. F. Frome ( 1899 – 1982 ), Hugh Whistler ( 1889 – 1943 ), H. H. Godwin-Austen ( 1834 – 1923 ), Col. W. H. Sykes ( 1790 – 1872 ), C. M. Inglis ( 1870 – 1954 ), Frank Ludlow ( 1885 – 1972 ), E. C. Stuart Baker ( 1864 – 1944 ), Henry Edwin Barnes ( 1848 – 1896 ), F. N. Betts ( 1906 – 1973 ), H. R. Baker, W. E. Brooks ( 1828 – 1899 ), Margaret Cockburn ( 1829 – 1928 ), James A. Murray, E. W. Oates ( 1845 – 1911 ), Ferdinand Stoliczka ( 1838 – 1874 ), Valentine Ball ( 1843 – 1894 ), W. T. Blanford ( 1832 – 1905 ), J. K. Stanford ( 1892 – 1971 ), Charles Swinhoe ( 1836 – 1923 ), Robert Swinhoe ( 1836 – 1877 ), C. H. T. Marshall ( 1841 – 1927 ), G. F. L. Marshall ( 1843 – 1934 ), R. S. P. Bates, James Franklin ( 1783 – 1834 ), Satya Churn Law, Arthur Edward Osmaston ( 1885 – 1961 ), Bertram Beresford Osmaston ( 1868 – 1961 ), Wardlaw Ramsay ( 1852 – 1921 ) and Samuel Tickell ( 1811 – 1875 ).

and cite additional work on the problem and its generalizations by C. Adams ( 1846 ), Adolphe Quidde ( 1850 ), K. H. Schellbach ( 1853 ), Arthur Cayley ( 1854, 1857, 1875 ), Alfred Clebsch ( 1857 ), P. Simons ( 1874 ), J. Casey ( 1888 ), Rouché and Comberousse ( 1900 ), H. F. Baker ( 1925 ), L. J. Rogers ( 1928 ), Angelo Procissi ( 1932 ), Jun Naito ( 1975 ), and D. G. Rogers ( 2005 ).

On July 17, 1875 the individual members of the Board of Public Works — Governor James Black Groome, Treasurer Barnes Compton, and Comptroller Levin Woolford — filed suits of libel against Charles C. and Albert K. Fulton, proprietors of the Baltimore American, claiming $ 20, 000 each in damages.

* Louis K. Liggett ( 1875 – 1946 ) founder of Rexall drug stores

He was father of Sir Denys Bray ( 1875 – 1951 ), K. C. S. I., K. C. I. E., C. B. E., sometime Foreign Secretary to the Government of India, and Indian delegate to the League of Nations during the British colonial period.

Aachen is at the western end of the Benrath line that divides High German to the south from the rest of the West Germanic speech area to the north.

It was reserved for his biographer Karl Benrath to justify him, and to represent him as a fervent evangelist and at the same time as a speculative thinker with a passion for free inquiry, always learning and unlearning and arguing out difficult questions with himself in his dialogues, frequently without attaining to any absolute conviction.

In the south the Benrath line and Uerdingen line isoglosses form the border with the area, where West Central German variants of High German are spoken.

In Zusammenarbeit mit Gustav Adolf Benrath, Eberhard Busch, Pavel Filipi, Arnd Götzelmann, Pentii Laasonen, Hartmut Lehmann, Mark A. Noll, Jörg Ohlemacher, Karl Rennstich und Horst Weigelt unter Mitwirkung von Martin Sallmann hg.

Some hitherto unpublished letters of Sarpi were edited by Karl Benrath and published, under the title Paolo Sarpi.

The division is usually drawn at the Benrath line that traces the maken – machen isogloss.

The curving outbuildings of Schwetzingen inspired the smaller Rococo perfections of Schloss Benrath, with its quarter arcs of matching corps de logis embracing a formal sheet of water, built for Carl Theodor near Düsseldorf, 1756 – 1770.

Charles Theodore ’ s chief architect Nicolas de Pigage was charged to complete the Mannheim Palace, design the Schlosstheater and the gardens at Schwetzingen Palace ( including numerous pavilions, among them several artificial “ Roman ” ruins and a “ mosque ”) as well as Benrath palace.

The main isoglosses, the Benrath line | Benrath and Speyer line s, are marked in black.

Major dialects are typically demarcated by groups of isoglosses ; for example the Benrath line distinguishes High German from the other West Germanic languages ; and the La Spezia-Rimini Line divides the Northern Italian dialects from Central Italian dialects.

The Benrath ( maken / machen ) and Speyer line ( Appel / Apfel ), the main isoglosses of the continental West Germanic languages.

The Line runs from Benrath ( part of Düsseldorf ) and Aachen to eastern Germany near Frankfurt an der Oder in the area of Berlin and Dessau.

The Benrath line does not mark the northernmost effect of the High German consonant shift, since the Uerdingen line, the ik-ich isogloss, lies slightly further north ; and some of the peripheral changes associated with the shift did affect Low German.

It is spoken in the Rhineland south of the Benrath line, from northwest of Düsseldorf and Cologne to Aachen in the west, and Waldbröl in the east.

The shift occurred south of an east-west zone called the Benrath Line.

* Martin Benrath as Gen. Hentz

Von Fritsch was born in Benrath in the Rhine Province of the German Empire.

See the article by Canon G. G. Perry in the Dictionary of National Biography, and that by Benrath in Herzog-Hauck, Realencyklopdie ( ed.

* Benrath: Realenzyklopädie für protestantische Theologie und Kirche ( RE ) 3.

In the area between the Uerdingen line and the Benrath line to its south, which includes parts of Belgium and the Netherlands, the Germanic dialect Limburgish is spoken.